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g is the midpoint of fh f 10x g 7x + 15 h #15: x = #16: fg = #17: gh = …

Question

g is the midpoint of fh
f 10x g 7x + 15 h
#15: x =
#16: fg =
#17: gh =
#18: fh =

Explanation:

Step1: Set up equation

Since G is mid - point, $10x=7x + 15$.

Step2: Solve for x

$10x-7x=15$, $3x = 15$, $x = 5$.

Step3: Find FG

$FG=10x=10\times5 = 50$.

Step4: Find GH

$GH=7x + 15=7\times5+15=50$.

Step5: Find FH

$FH=FG + GH=50+50 = 100$.

Answer:

#15: 5
#16: 50
#17: 50
#18: 100